Given numbers are 820,520,211,351,301

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 820,520,211,351,301 is 36559472040.

Find LCM of 820,520,211,351,301 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 5 x 13 x 41 x 2 x 211 x 27 x 301 = 36559472040

Therefore, the lowest common multiple of 820,520,211,351,301 is 36559472040.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

820 x 520 x 211 x 351 x 301 = 9505462730400

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

211 : 1, 211

351 : 1, 3, 9, 13, 27, 39, 117, 351

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,520,211,351,301, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

520:2x 2x 2x 5x 13

211:211

351:3x 3x 3x 13

301:7x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 5x 13 = 260

Therefore, the value for common factors is 260.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 9505462730400/(1x260)

LCM = 9505462730400/260

LCM = 36559472040

Thus, we can understand that the LCM of 820,520,211,351,301 is 36559472040.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 231, 958, 542, 642, 233
• LCM of 646, 899, 969, 648, 597
• LCM of 966, 700, 641, 247, 615
• LCM of 792, 703, 729, 862, 162
• LCM of 965, 906, 173, 598, 893

1. What is the LCM of 820, 520, 211, 351, 301?

Answer: LCM of 820, 520, 211, 351, 301 is 36559472040.

2. How to calculate the LCM of 820, 520, 211, 351, 301?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 820, 520, 211, 351, 301.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.